Comments for MEDB 5502, Week 03

Topics to be covered

• What you will learn
  • Indicator variables for three or more categories
  • Multiple factor analysis of variance
  • Checking assumptions of analysis of variance
  • Interactions in analysis of variance
  • Interactions in analysis of covariance
  • Interactions in multiple linear regression
  • The general linear model
  • To be determined

Review oneway analysis of variance

• \(H_0:\ \mu_1=\mu_2=...=\mu_k\)
• \(H_1:\ \mu_i \ne \mu_j\) for some i, j
  • Reject \(H_0\) if F-ratio is large
• Note: when k=2, use analysis of variance or t-test

Full moon data

• Admission rates to mental health clinic before, during, and after full moon.
• One year of data

Boxplot of full moon data

Descriptive statistics

Analysis of variance table

Tukey post hoc

Creating indicator variables

Running general linear model with all indicator variables

Analysis of variance with first and second indicators

• 11.458 - 13.417 = -1.959

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::: notes

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Live demo, Multiple factor analysis of variance

Break #1

• What you have learned
  • Indicator variables for three or more categories
• What’s coming next
  • Multiple factor analysis of variance

Slide 04-02

Live demo, Multiple factor analysis of variance

Break #2

• What you have learned
  • Multiple factor analysis of variance
• What’s coming next
  • Checking assumptions of analysis of variance

Slide 04-03

Live demo, Checking assumptions of analysis of variance

Break #3

• What you have learned
  • Checking assumptions of analysis of variance
• What’s coming next
  • Interactions in analysis of variance

Slide 03-04

Live demo, Interactions in analysis of variance

Break #4

• What you have learned
  • Interactions in analysis of variance
• What’s coming next
  • Interactions in analysis of covariance

Slide 04-05

Live demo, Interactions in analysis of covariance

Break #5

• What you have learned
  • Interactions in analysis of covariance
• What’s coming next
  • Interactions in multiple linear regression

Slide 04-06

Live demo, Interactions in multiple linear regression

Break #6

• What you have learned
  • Interactions in multiple linear regression
• What’s coming next
  • The general linear model

Slide 04-07

Live demo, The general linear model

Break #7

• What you have learned
  • The general linear model
• What’s coming next
  • To be determined

Slide 04-08

Live demo, To be determined

Summary

• What you have learned
  • Indicator variables for three or more categories
  • Multiple factor analysis of variance
  • Checking assumptions of analysis of variance
  • Interactions in analysis of variance
  • Interactions in analysis of covariance
  • Interactions in multiple linear regression
  • The general linear model
  • To be determined

Additional topics??